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Simplifying 4 + 13r + -1 = 9r + 66 + -3r Reorder the terms: 4 + -1 + 13r = 9r + 66 + -3r Combine like terms: 4 + -1 = 3 3 + 13r = 9r + 66 + -3r Reorder the terms: 3 + 13r = 66 + 9r + -3r Combine like terms: 9r + -3r = 6r 3 + 13r = 66 + 6r Solving 3 + 13r = 66 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 3 + 13r + -6r = 66 + 6r + -6r Combine like terms: 13r + -6r = 7r 3 + 7r = 66 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + 7r = 66 + 0 3 + 7r = 66 Add '-3' to each side of the equation. 3 + -3 + 7r = 66 + -3 Combine like terms: 3 + -3 = 0 0 + 7r = 66 + -3 7r = 66 + -3 Combine like terms: 66 + -3 = 63 7r = 63 Divide each side by '7'. r = 9 Simplifying r = 9
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